Answer:
Step-by-step explanation:
What is the least common denominator of 1/3 and 1 2?
The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .
Answer:
x= 2 and y = -4
Step-by-step explanation:
8x + 3y = 4 ---------------------------------(1)
-7x + 5y = -34 -----------------------------(2)
Multiply through equation (1) by 5 and multiply through equation(2) by 3
40x + 15y = 20 ----------------------------(3)
-21x + 15y =-102----------------------------(4)
Subtract equation (4) from equation (3)
61x = 122
Divide both-side of the equation by 61
61x/61 = 122/61
(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)
x = 122/61
x=2
Substitute x= 2 into equation (1)
8x + 3y = 4
8(2) + 3y = 4
16 + 3y = 4
Subtract 16 from both-side of the equation
16-16 + 3y = 4-16
3y = -12
Divide both-side of the equation by 3
3y/3 = -12/3
y = -4
x= 2 and y = -4
Answer:
<em>Grades to be scored in 3rd exam = 88</em>
Step-by-step explanation:
Given that average of 3 numbers is 85.
First two numbers are 81 and 86.
To find:
3rd number so that average is 85
Solution:
Let the third number =
Formula for average is:
Here, sum of numbers =
Total count of numbers = 3
<em>Grades to be scored in 3rd exam = 88</em>
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be .
To find the number of days it will take to build a similar house with 5 workers, we will substitute in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.
Answer:
The 2 tickets will cost £44.10 after the increase.
Step-by-step explanation:
First, you have to multiply £19.60 by 12.5% to find the increase in the cost of tickets.
Add the price increase to the original cost to find the new cost of each ticket.
Multiply the result by 2 since you have to look for the cost of the 2 tickets.